Time taken for work out was 1/4 hours
let the time taken to walk be x
time spent for jogging will be (1/4-x)
distance=speed×time
distance walked will be:
3.1x miles
distance jogged will be:
5.2(1/4-x) miles
Total distance:
3.1x+5.2(1/4-x)=1.09
solving for x we get
3.1x-5.2x+1.3=1.09
2.1x=0.21
x=0.1
Thus time spent on waling was o.1 hours
time spent on jogging was 0.25-0.1=0.15 hours
A)180°-50°-45°=85
x=85
B,A,C#
B)R,Q,P#
To find out which equation has no real solutions, we need to calculate the discriminant for each of these given equations.
For calculating the discriminant, we need to first compare these equations with the general formula which is <u>ax²+bx+c.</u>
So, let's get started.
1) x² + 4x + 16 = 0
a=1, b=4, c=16
D = b²-4ac
= (4)² - 4(1)(16)
= 16-64
= -48
√D = √-48
2) 4x² + 4x - 24 = 0
a=4, b=4, c=-24
D = b²-4ac
= (4)² - 4(4)(-24)
= 16 - 16(-24)
= 16 + 384
= 400
√D = √400 = +20 or -20
3) 5x² + 3x - 1 = 0
a=5, b=3, c=-1
D = b²-4ac
= (3)² - 4(5)(-1)
= 9 + 20
= 29
√D = √29
4) 2x² - 4x + 4 = 0
a=2, b=-4, c=4
D = b²-4ac
= (-4)² - 4(2)(4)
= 16 - 32
= -16
√D = √-16
Now from all these above calculations, we can see that discriminant was negative in first equation and in last equation.
If D<0 then roots does not exist, as the square root can not contain a negative value or the equation does not have any real solutions.
Roots in such case can be calculated but those roots are known as imaginary roots, which is a higher concept.
So Final answer is,
Equation 1 => x² + 4x + 16 = 0
and
Equation 4 => 2x² - 4x + 4 = 0
has no real solutions.
Answer:2.28571429 dollars. 4/1.75= 2.28571429, therefore showing how much one will cost.
Step-by-step explanation:
Step-by-step explanation:
Let S be the set of all the stores in the sample, A be the set of stores dealing with Asian companies and E but the set of stores dealing with European companies
i. The set of stores that deal with European or Asian companies is A ∪ E. The inclusion-exclusion principle states that |A ∪ E| = |A| + |E| - |A ∩ E| = 266 + 308 - 103 = 471. So P(A ∪ E) = 471/500 = 0.942
ii. E' = S - E. |S-E| = 500 - 308 = 192. So P(E') = 192/500 = 0.384
iii. |A - E| = |A| - |A ∩ E| = 266 - 103 = 163. So P(A - E) = 163/500 = 0.326
iv. Stores that do not deal with only one type of company, must deal with both Asian and European companies. We are given that |A ∩ E| = 103. So P(A ∩ E) = 103/500 = 0.206
Easy, right?
Then mark as brainlist!
